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Finding the Third Proportional to 348,052 and 737,288

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Solution

The third proportional to 348,052 and 737,288 is: 1,561,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,052 : 737,288 = 737,288 : x
  2. Step 2: Convert to fraction form
    348,052/737,288 = 737,288/x
  3. Step 3: Cross multiply
    348,052x = 737,288 × 737,288
  4. Step 4: Simplify right side
    348,052x = 543,593,594,944
  5. Step 5: Solve for x
    x = 543,593,594,944/348,052
  6. Step 6: Final answer
    x = 1,561,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.